Answer:
D. 6.30q + 14.40 = 4.50(q + 4)
Step-by-step explanation:
Which equation below represents the situation
A. 3.60(q – 4) + 25.20 = 4.50q
B. 3.60q + 25.20 = 4.50(q + 4)
C. 6.30(q – 4) + 14.40 = 4.50q
D. 6.30q + 14.40 = 4.50(q + 4)
Cost of Cranberry juice = $6.30 per quart
Cost of apple juice = $3.60 per quart.
Let
Cost of q quarts of Cranberry juice = $ 6.30q
Cost of 4 quarts of apple juice = $3.60×4= $ 14.40
Total quarts of cranberry-apple juice mixture = q+4
Terrence wants to make a cranberry-apple juice mixture that costs $4.50 per quart
Total revenue = price × quantity
= $4.50(q+4) (1)
Total cost of the mixture = Cost of q quarts of cranberry juice + cost of 4 quarts of apple juice.
= 6.30q + 14.40 (2)
Equate both equations
$4.50(q+4) = 6.30q + 14.40
It can also be written as
6.30q + 14.40 = 4.50(q + 4)
The correct answer is
D. 6.30q + 14.40 = 4.50(q + 4)
Solve the literal equation |ax+b| = c for a
Answer:
Since we're dealing with absolute value we'll have two answers.
a= c/x-b/x
a= -c/x-b/x
Step-by-step explanation:
Since we can't combine any values inside the absolute value signs we get rid of the absolute value signs.
Now we have: ax+b=c
since we're trying to get a by itself, we subtract the b to get ax= c-b
Now we divide the x and since we can't directly put it with a single value on the right side, we have to put it with both the c and b. Now we have a=c/x-b/x.
For the second answer, you first put a negative with the c. ax+b= -c
Now you solve exactly the same way you did above.
Hope this helps! :)
what would the answer be and please show your work
-4x=32
Answer:
X=-8
Step-by-step explanation:
-4(-8)=32
Answer:
X = -8
Step-by-step explanation:
First, you need to understand to "do the opposite" in both sides of your equation. In this problem, -4 is being multiplied by x. To get x by itself, we must do the opposite, which means dividing both sides by -4 in this problem.
Next, you need to understand how the negative in the -4 will affect your answer. When dividing a positive number by a negative number, the resulting answer will be negative.
Finally, just put all your steps together! Divide both sides by -4, giving you x = 8. Then, apply the negative from the 4 and you'll get a final answer of x = -8! Hope this helps!
What word is often used as a transition tag to show the progression of the time in a story?
A.since
B.then
C.when
D.only
Answer:
The answer is: C- then
Step-by-step explanation:
Answer:
B. then
Then is often used as a transition tag to show the progression of time in a story.
Winston has just received his monthly credit card statement. He placed 7 charges on his card in the last month with a mean of $34.00 per charge. He knows that 6 of the charges were as follows: $33.78,$34.24,$35.59,$29.88,$36.58,$26.78 Determine the amount of the 7th charge.
Answer:
$41.15
Step-by-step explanation:
Given That :
Data for 6 charges :
$33.78,$34.24,$35.59,$29.88,$36.58,$26.78
Total number of charges = 7
Mean value for the 7 charges = $34.00
Amount of the 7th charge :
Let amount = c
(33.78 + 34.24 + 35.59 + 29.88 + 36.58 + 26.78 + c) / 7 = 34.00
= (196.85 + c) / 7 = 34
196.85 + c = 34 * 7
196.85 + c = 238
c = 238 - 196.85
c = $41.15
The amount of the 7th charge is $41.15
Given That :
Data for 6 charges: $33.78, $34.24, $35.59, $29.88, $36.58, $26.78.
Total number of charges = 7
Mean value for the 7 charges = $34.00
Amount of the 7th charge :
Let amount = c
So,
[tex]\frac{\left(33.78+34.24+35.59+29.88+36.58+26.78+c\right)}{7}=34.00\\\frac{(196.85+c)}{7} = 34\\196.85 + c = 34 * 7\\196.85 + c = 238\\c = 238 - 196.85\\c = $41.15[/tex]
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there are 600 seats in the jefferson middle school auditorium. the students are using 2/3 of the seats. There are 25 seats being used by teachers. how many seats are empty?
answer choices:
425
175
225
275
Please Help Meeeee!
please help me fast am stuck
Answer:
m = 3/2, Option C
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
m = ( -3-(-6))/(0-(-2))
m = 3/2
How can a regular hexagon be folded to show that it has reflectional Symmetry?
> Fold the Hexagon a line from the vertex to the midpoint of an opposite side.
> Fold the hexagon along a line connecting the midpoints of adjacent sides.
>Fold the Hexagon along a line that bisects two vertex angles.
> Fold the Hexagon along a line that creates a right angle at a Vertex.
Sorry Please Help:)
Answer:
the answer is to fold the hexagon along a line that bisects two vertex angles.
Step-by-step explanation:
pls mark me as a brainllest
Correct way of reflectional symmetry of regular hexagon is given by
Fold the hexagon along a line that bisects two vertex angles.
What is reflectional symmetry?
" Reflection symmetry is a type of symmetry which shows its reflection of its one half plane same as other half."
According to the question,
As shown in diagram drawn of regular hexagon.
Fold the regular hexagon from the line drawn in the diagram to represent the reflectional symmetry.
Hence, we conclude that Option(C ) is the correct answer.
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Your baseball team is selling donuts to raise money for a trip for each dozen of donuts you sell $3.50 goes towards your trip you hope to earn at least $140 for the trip right and solve an inequality that represents the number X of dozen donuts you must sell to reach your goal
The domain of the following relation R {(6, -2), (1, 2), (-3, -4), (-3, 2)} is (1 point)
A. {-1, 1, 3}
B. {-5, -4, 2}
C. {-1, -1, 1, 3}
D. {-4, -5, 2, 2}
Answer:
B. {-5, -4, 2}
Step-by-step explanation:
brainliest
Y+3=5(x+1). Solve for y
Answer:
y=5x+2
Step-by-step explanation:
PLEASE HELP ASAP MARKING BRAINLIEST ⚠️⚠️
use the equation to complete the table
y=3/8x-5
**the last number of the table is 24
Answer:
minus 5 but make sure you change 3/6 to decimal form
Answer:
-8, -5, -2, 1, 4
Step-by-step explanation:
2x+x+8=3x-2
Is this Infinitely Many Solution
One Solution
Or No Solution
The 2x+x on the left side add to 3x
So we have the equation become 3x+8 = 3x-2
Subtract 3x from both sides to get 8 = -2, but that statement is false.
No matter what we replace x with, the original equation will be false.
Let cot(x) = 5/8, with 0 < x < 90. What is sin(x)?
Answer:
8 / √89
Step-by-step explanation:
1. cot (x) = 5/8
2. 8√89 / 89
3. simplify
4. 8 / √89
Value of sin(x) is equals to (8√89) / (89), 0 < x < 90.
What are trigonometric functions?" Trigonometric functions are mathematical functions which relates angles and sides of a right angle triangle , where 0 < x < 90°."
Formula used
In right angled triangle ABC , ∠B = 90° , ∠C = x°
cot (x )= ( Base ) / ( Opposite side)
sin ( x) = ( Opposite side ) / ( Base )
Pythagoras theorem
(Hypotenuse)² = (Base)² + (Opposite side)²
(AC)² = (AB)² + (BC)²
According to the question,
Given
cot (x) =5 / 8 , 0< x< 90
Therefore, by comparing the given values of trigonometric function with the formula we have,
Base = 5
Opposite side = 8
Substitute the value in the Pythagoras theorem we get,
(Hypotenuse)² = 5² + 8²
⇒ (Hypotenuse)² = 25 + 64
⇒ Hypotenuse = √89
Therefore,
sin(x) = 8 / √89
= 8√89 / 89 ( rationalize √89)
Hence, value of sin(x) is equals to (8√89) / (89), 0 < x < 90.
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0.3 of the 600 students in Morning Star participate in extracurricular activities. How many students participate?
Answer:
18 or 1.8
Step-by-step explanation:
Answer:
5 students
Step-by-step explanation:
divide 0.3/ 600
Which expression is equivalent to (3x + 2)(2x – 8)?
(1) 6x 2– 16
(2) 6x 2– 26x – 16
(3) 6x 2– 20x – 16
(4) 6x – 16
Answer:
no.3
Step-by-step explanation:
(3x+2)(2x-8)
6x^2 - 24x + 4x - 16
6x^2 - 20x - 16
Answer:
(3) 6x^2 - 20x - 16.
Step-by-step explanation:
(3x + 2)(2x – 8)
= 3x*2x + 3x * -8 + 2*2x + 2*-8
= 6x^2 - 24x + 4x - 16
= 6x^2 - 20x - 16.
12x-39≤9 AND −4x+3<−6
Answer:
9/4 < x ≤ 4
Step-by-step explanation:
9/10 + -4/5 help please
Answer:
1/10
Step-by-step explanation:
First you've got to find common denominators. The common denominator would be 10 since 10 is divisible by 5 and 10. That means you've got the change the denominator of -4/5. Multiply both the numerator and denominator by 2 to grt -8/10.
Then all you have to do is:
9 + -8 1
——— = —
10 10
Khan academy also has some great videos on this if you're confused.
3(x+5)=2(3x+12 can you plz help me
Answer:
x = -3
Step-by-step explanation:
3(x+15) = 2(3x+12)
3x+15 = 6x+24
-6x+3x = 24-15
-3x = 9
x = -3
your welcome
Please help quickly.
Answer:
A side is added to each image.
Step-by-step explanation:
One line is added each time.
when adding and subtracting multi digit decimals you must line the decimal point up in both numbers true or false
Answer: true
Step-by-step explanation:
Quiana made 5 equal monthly payments from her bank account which rational number shows something being removed 5 time
Answer:
The answer is -5
Answer:
the answer is -5
Step-by-step explanation:
I did this and it was right
Is the ratio 12:14 written in simplest form?
1 point
Yes
No
Practice Problems
Answer:
i believe so 12:14 is simplified as 6/7 i think
Step-by-step explanation:
Round 4,482,186 to the hundreds place
Answer:
4,482,186 becomes 4,482,190
Step-by-step explanation:
Rewrite the following mixed number as an improper fraction: -8 2/3
Answer:
-22/3
Step-by-step explanation:
to convert a mixed number to an improper fraction:
whole number × denominator + numerator
keep the denominator
-8 × 3 + 2
-24 + 2
-22
keep denominator
-22/3
Jolene has 30 days to prepare for a
bicycle race. She will bicycle 15 miles
each day. How many miles will
Jolene have bicycled during her
training?
Answer:
450
Step-by-step explanation:
15*30
Martine’s town is building a volleyball court based in a scale drawing that is 40centimeters by 80 centimeters and uses the scale 1 cm: 22.5cm
Part B
What are the length and the width in meters of the actual court? Show your work
Select all the correct answers,
Hint
Length: (2)(80) = 900 cm =9 m
Length: (22.5)(80) = 1,800 cm = 18 m
length: (40)(80) =3,200 cm = 32 m
Width: (2)(40) = 80 cm =3 m
width: (22.5)(40) = 900 cm = 9 m
width: (40)(80) = 3,200 cm = 32 m
Answer:
9m by 18mStep-by-step explanation:
Current drawing measurement is 40cm by 80cm using the scale 1cm:22.5cm. This scale means that the original dimension of the court has been reduced by 22.5 for every 1cm. To get the original dimension, we will multiply the given dimension by 22.5cm each as shown.
For 40cm length
Original length = 40 * 22.5
Original length = 900 cm
Convert to metres:
100cm = 1m
900cm = x
cross multiply:
100x = 900*1
x = 900/100
x = 9m
Hence 900cm = 9m
For the 80cm width:
Original width = 80 * 22.5
Original width = 1800 cm
Convert to metres:
100cm = 1m
1800cm = x
cross multiply:
100x = 1800*1
x = 1800/100
x = 18m
Hence 1800cm = 9m
Hence the length and the width of the actual court in metres is 9m by 18m
8. A jar holds twenty-seven coins which are either nickels or dimes. The coins are worth $1.95. How many dimes are in the jar?
Answer:19 dimes 1 necke
Calcula la distancia que debe recorrer un teleférico, sabiendo que debe salir de la estación de servicio y llegar a la cima de la montaña, cuya altura es de 650m, como se muestra en la figura.
Omg bruhhhhhhhhhhhhhh
Answer:
I don't understand srry
Step-by-step explanation:
byshjssi
pleaseeee help im stuckkk
Answer:
2 in 43, 3 in 45, 1 in both 46 and 42, and then a 2 in 44
Step-by-step explanation:
just count how many there is for each thingy for example if you look on the chart there is 3 45s so you'd put 3 in the 45 column